The rocket is initially in free-flight circular orbit around the earth. Suppose that a= 18 Mm and b= 6 Mm. Part A Determine the speed of the rocket at A. Express your answer to three significant figures and include the appropriate units. (vA)C = Part B What change in the speed at A is required so that it can move in an elliptical orbit to reach point A′? Express your answer to three significant figures and include the appropriate units. Δv =

The rocket is initially in free-flight circular orbit around the earth. Suppose that a= 18 Mm and b= 6 Mm. Part A Determine the speed of the rocket at A. Express your answer to three significant figures and include the appropriate units. (vA)C = Part B What change in the speed at A is required so that it can move in an elliptical orbit to reach point A′? Express your answer to three significant figures and include the appropriate units. Δv =

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Question

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Need help with this engineering dynamics review

The rocket is initially in free-flight circular orbit around the earth. Suppose that a= 18 Mm and b= 6 Mm.

Part A

Determine the speed of the rocket at A.

Express your answer to three significant figures and include the appropriate units.

(vA)C =

Part B

What change in the speed at A is required so that it can move in an elliptical orbit to reach point A′?

Express your answer to three significant figures and include the appropriate units.

Δv =

Expert Solution

Step 1

Concept:

The centripetal Force is acting on the Rocket due to the gravity of the earth

thus,

$F = \frac{m V^{2}}{r} m = M a s s o f r o c k e t V = V e l o c i t y o f r o c k e t r = d i s \tan c e b e t w e e n c e n t e r o f e a r t h a n d r o c k e t$

According to the Universal Gravitational Law

$F = \frac{G M m}{r^{2}} T h u s, \frac{m V^{2}}{r} = \frac{G M m}{r^{2}} V^{2} = \frac{G M}{r} V = \sqrt{\frac{G M}{r}} h e r e, G = U n i v e r s a l g r a v i t a t i o n a l c o n s \tan t G = 6.67408 \times 10^{- 11} m^{3} k g^{- 1} s^{- 2} M = M a s s o f e a r t h M = 5.972 \times 10^{24} k g$

Radius of earth (Re) = 6371 km

In Mm

Re=6.371 Mm

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